“Analysis of Fixed Effects ANOVA
Models for Factorial Experiments with
No Data in Some Cells”
Michael H. Kutner, Ph.D.
Department of Biostatistics and
Bioinformatics
Rollins School of Public Health
Emory University
Most standard statistical software programs provide F-tests to test main effect
hypotheses and interactions for fixed effects factorial experimental models
when some of the cells do not contain data. Simple examples using SAS will be
given documenting the difficulties with properly dealing with cells without data.
SAS claims that the results may not be meaningful. We will see that the tests for
main effects are not invariant to simple permutations of the rows and columns
using data from a two-factor 3X3 factorial experiment. The hypotheses that are
actually being tested will be delineated. The balanced incomplete block (BIB)
design will be shown to be a special case.
Date: Thursday, October 30, 2014
Time: 4:00-5:00 pm
Location: Bear Hall 160
Refreshments: 3:30 in Bear 211